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- Jiaheng Lu, Pierre Senellart, Chunbin Lin, Xiaoyong Du, Shan Wang, Xinxing Chen
- SIGMOD Conference
- 2012

In this work, we study a novel query type, called top-<i>k,m</i> queries. Suppose we are given a set of groups and each group contains a set of attributes, each of which is associated with a ranked list of tuples, with ID and score. All lists are ranked in decreasing order of the scores of tuples. We are interested in finding the best combinations of… (More)

- Xinxing Chen, Dayue Chen
- 2009

We prove that two independent continuous-time simple random walks on the infinite open cluster of a Bernoulli bond percolation in the lattice Z meet each other infinitely many times. An application to the voter model is also discussed. 2000 MR subject classification: 60K

- Xinxing Chen, Dayue Chen
- 2011

In this paper, we give some sufficient conditions for the infinite collisions of independent simple random walks on a wedge comb with profile {f(n), n ∈ Z}. One interesting result is that two independent simple random walks on the wedge comb will collide infinitely many times if f(n) has a growth order as n log n. On the other hand, if {f(n);n ∈ Z} are… (More)

A well known theorem of Delmotte is that Gaussian bounds, parabolic Harnack inequality, and the combination of volume doubling and Poincaré inequality are equivalent for graphs. In this paper we consider graphs for which these conditions hold, but only for sufficiently large balls, and prove a similar equivalence. 2000 MR subject classification: 60K37, 58J35

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